Density of Fluid in Falling Sphere Resistance Method Calculator

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✖Buoyant Force is the upward force exerted by any fluid upon a body placed in it.ⓘ Buoyant Force [F_B]			+10% -10%
✖The Diameter of Sphere is considered in the falling sphere resistance method.ⓘ Diameter of Sphere [d]			+10% -10%

✖Density of Liquid refers to its mass per unit volume. It is a measure of how tightly packed the molecules are within the liquid and is typically denoted by the symbol ρ (rho).ⓘ Density of Fluid in Falling Sphere Resistance Method [ρ]

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Density of Fluid in Falling Sphere Resistance Method

Formula

`"ρ" = "F"_{"B"}/(pi/6*"d"^3*"[g]")`

Example

`"984.6633kg/m³"="79N"/(pi/6*("0.25m")^3*"[g]")`

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Density of Fluid in Falling Sphere Resistance Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

Density of Liquid = Buoyant Force/(pi/6*Diameter of Sphere^3*[g])
ρ = F_B/(pi/6*d^3*[g])
This formula uses 2 Constants, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Density of Liquid - (Measured in Kilogram per Cubic Meter) - Density of Liquid refers to its mass per unit volume. It is a measure of how tightly packed the molecules are within the liquid and is typically denoted by the symbol ρ (rho).
Buoyant Force - (Measured in Newton) - Buoyant Force is the upward force exerted by any fluid upon a body placed in it.
Diameter of Sphere - (Measured in Meter) - The Diameter of Sphere is considered in the falling sphere resistance method.

STEP 1: Convert Input(s) to Base Unit

Buoyant Force: 79 Newton --> 79 Newton No Conversion Required
Diameter of Sphere: 0.25 Meter --> 0.25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ = F_B/(pi/6*d^3*[g]) --> 79/(pi/6*0.25^3*[g])

Evaluating ... ...

ρ = 984.663336335188

STEP 3: Convert Result to Output's Unit

984.663336335188 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

984.663336335188 ≈ 984.6633 Kilogram per Cubic Meter <-- Density of Liquid

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Viscous Flow » Fluid Flow and Resistance » Density of Fluid in Falling Sphere Resistance Method

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PSG College of Technology (PSGCT), Coimbatore

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< 21 Fluid Flow and Resistance Calculators

Total Torque Measured by Strain in Rotating Cylinder Method

Go Torque Exerted on Wheel = (Viscosity of Fluid*pi*Inner Radius of Cylinder^2*Mean Speed in RPM*(4*Initial Height of Liquid*Clearance*Outer Radius of Cylinder+(Inner Radius of Cylinder^2)*(Outer Radius of Cylinder-Inner Radius of Cylinder)))/(2*(Outer Radius of Cylinder-Inner Radius of Cylinder)*Clearance)

Angular Speed of Outer Cylinder in Rotating Cylinder Method

Go Mean Speed in RPM = (2*(Outer Radius of Cylinder-Inner Radius of Cylinder)*Clearance*Torque Exerted on Wheel)/(pi*Inner Radius of Cylinder^2*Viscosity of Fluid*(4*Initial Height of Liquid*Clearance*Outer Radius of Cylinder+Inner Radius of Cylinder^2*(Outer Radius of Cylinder-Inner Radius of Cylinder)))

Discharge in Capillary Tube Method

Go Discharge in Capillary Tube = (4*pi*Density of Liquid*[g]*Difference in Pressure Head*Radius of Pipe^4)/(128*Viscosity of Fluid*Length of Pipe)

Rotational Speed for Torque Required in Collar Bearing

Go Mean Speed in RPM = (Torque Exerted on Wheel*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*(Outer Radius of Collar^4-Inner Radius of Collar^4))

Torque Required to Overcome Viscous Resistance in Collar Bearing

Go Torque Exerted on Wheel = (Viscosity of Fluid*pi^2*Mean Speed in RPM*(Outer Radius of Collar^4-Inner Radius of Collar^4))/Thickness of Oil Film

Velocity of Piston or Body for Movement of Piston in Dash-Pot

Go Velocity of Fluid = (4*Weight of Body*Clearance^3)/(3*pi*Length of Pipe*Piston Diameter^3*Viscosity of Fluid)

Shear Force or Viscous Resistance in Journal Bearing

Go Shear Force = (pi^2*Viscosity of Fluid*Mean Speed in RPM*Length of Pipe*Shaft Diameter^2)/(Thickness of Oil Film)

Speed of Rotation for Shear Force in Journal Bearing

Go Mean Speed in RPM = (Shear Force*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*Shaft Diameter^2*Length of Pipe)

Shear Stress in Fluid or Oil of Journal Bearing

Go Shear Stress = (pi*Viscosity of Fluid*Shaft Diameter*Mean Speed in RPM)/(60*Thickness of Oil Film)

Rotational Speed for Torque Required in Foot-Step Bearing

Go Mean Speed in RPM = (Torque Exerted on Wheel*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*(Shaft Diameter/2)^4)

Torque Required to Overcome Viscous Resistance in Foot-Step Bearing

Go Torque Exerted on Wheel = (Viscosity of Fluid*pi^2*Mean Speed in RPM*(Shaft Diameter/2)^4)/Thickness of Oil Film

Velocity of Sphere in Falling Sphere Resistance Method

Go Velocity of Sphere = Drag Force/(3*pi*Viscosity of Fluid*Diameter of Sphere)

Drag Force in Falling Sphere Resistance Method

Go Drag Force = 3*pi*Viscosity of Fluid*Velocity of Sphere*Diameter of Sphere

Density of Fluid in Falling Sphere Resistance Method

Go Density of Liquid = Buoyant Force/(pi/6*Diameter of Sphere^3*[g])

Buoyant Force in Falling Sphere Resistance Method

Go Buoyant Force = pi/6*Density of Liquid*[g]*Diameter of Sphere^3

Velocity at Any Radius given Radius of Pipe, and Maximum Velocity

Go Velocity of Fluid = Maximum Velocity*(1-(Radius of Pipe/(Pipe Diameter/2))^2)

Maximum Velocity at any Radius using Velocity

Go Maximum Velocity = Velocity of Fluid/(1-(Radius of Pipe/(Pipe Diameter/2))^2)

Rotational Speed considering Power Absorbed and Torque in Journal Bearing

Go Mean Speed in RPM = Power Absorbed/(2*pi*Torque Exerted on Wheel)

Torque Required Considering Power Absorbed in Journal Bearing

Go Torque Exerted on Wheel = Power Absorbed/(2*pi*Mean Speed in RPM)

Shear Force for Torque and Diameter of Shaft in Journal Bearing

Go Shear Force = Torque Exerted on Wheel/(Shaft Diameter/2)

Torque Required to Overcome Shear Force in Journal Bearing

Go Torque Exerted on Wheel = Shear Force*Shaft Diameter/2

Density of Fluid in Falling Sphere Resistance Method Formula

Density of Liquid = Buoyant Force/(pi/6*Diameter of Sphere^3*[g])
ρ = F_B/(pi/6*d^3*[g])

How Stoke's law is related here?

Stoke's law is the basis of the falling sphere viscometer, in which the fluid is stationary in a vertical glass tube. A sphere of known size and density is allowed to descend through the liquid.

What is buoyant force in viscous flow?

The buoyant force is a force act exactly opposite to gravitational force. The slower velocity of the ball moving thru liquid is due to the drag of viscous fluid. When we say weightlessness of the ball, it only means there is no force acting on the mass externally.

How to Calculate Density of Fluid in Falling Sphere Resistance Method?

Density of Fluid in Falling Sphere Resistance Method calculator uses Density of Liquid = Buoyant Force/(pi/6*Diameter of Sphere^3*[g]) to calculate the Density of Liquid, The Density of fluid in falling sphere resistance method formula is known while considering the diameter of the sphere in terms of the volume of a sphere and the buoyant force. Density of Liquid is denoted by ρ symbol.

How to calculate Density of Fluid in Falling Sphere Resistance Method using this online calculator? To use this online calculator for Density of Fluid in Falling Sphere Resistance Method, enter Buoyant Force (F_B) & Diameter of Sphere (d) and hit the calculate button. Here is how the Density of Fluid in Falling Sphere Resistance Method calculation can be explained with given input values -> 18696.14 = 79/(pi/6*0.25^3*[g]).

FAQ

What is Density of Fluid in Falling Sphere Resistance Method?

The Density of fluid in falling sphere resistance method formula is known while considering the diameter of the sphere in terms of the volume of a sphere and the buoyant force and is represented as ρ = F_B/(pi/6*d^3*[g]) or Density of Liquid = Buoyant Force/(pi/6*Diameter of Sphere^3*[g]). Buoyant Force is the upward force exerted by any fluid upon a body placed in it & The Diameter of Sphere is considered in the falling sphere resistance method.

How to calculate Density of Fluid in Falling Sphere Resistance Method?

The Density of fluid in falling sphere resistance method formula is known while considering the diameter of the sphere in terms of the volume of a sphere and the buoyant force is calculated using Density of Liquid = Buoyant Force/(pi/6*Diameter of Sphere^3*[g]). To calculate Density of Fluid in Falling Sphere Resistance Method, you need Buoyant Force (F_B) & Diameter of Sphere (d). With our tool, you need to enter the respective value for Buoyant Force & Diameter of Sphere and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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